The meaning of "有り難い" in various phrases and sentences

1. A flower crown? How the flowers stay there?
2. The one is imitating/mimicking the other, isn't it?
3. So you keep many rabbits. Thank you very much for liking me a lot.
4. Thank YOU for following me/letting me follow you. (よろしくお願いします one of the hardest words to translate into English!)
They digdig together. It's too cute!
It's very hard to tell without knowing the context. It seems the person is commenting on your instagram or something, but since we can't see the image, my translation might be wrong. I'm really not sure about 2.